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Finding the Fourth Proportional to 2,047.08, 3,071.02 and 950.78

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Solution

The fourth proportional to 2,047.08, 3,071.02 and 950.78 is: 1,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.08 : 3,071.02 = 950.78 : x
  2. Step 2: Convert to fraction form
    2,047.08/3,071.02 = 950.78/x
  3. Step 3: Cross multiply
    2,047.08x = 3,071.02 × 950.78
  4. Step 4: Simplify right side
    2,047.08x = 2,919,864.40
  5. Step 5: Solve for x
    x = 2,919,864.40/2,047.08
  6. Step 6: Final answer
    x = 1,426.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.